Question

Math

Posted 4 months ago

`when a coin is tossed once, what is the probability of each outcome occurring?`

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Answer from Sia

Verified answer

Posted 4 months ago

Solution by Steps

step 1

Consider a fair coin which has two possible outcomes: heads (H) or tails (T)

step 2

Since the coin is fair, the probability of getting heads is equal to the probability of getting tails

step 3

There are 2 possible outcomes and each is equally likely

step 4

The probability of each outcome is calculated as $\frac{1}{\text{total number of outcomes}}$

step 5

Therefore, the probability of getting heads is $\frac{1}{2}$

step 6

Similarly, the probability of getting tails is also $\frac{1}{2}$

Answer

The probability of getting heads is $\frac{1}{2}$ and the probability of getting tails is also $\frac{1}{2}$.

Key Concept

Probability of an event

Explanation

The probability of an event is the measure of the likelihood that the event will occur. When all outcomes are equally likely, the probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.

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